If you remove the wallpaper you will also remove the face paper of the drywall and then you will have to skim coat the whole wall. The best thing to do is just paint over it as long as it tight on the wall. You will need to prime the wallpaper with an oil based primer which will seal the ink in and block the moisture from the latex finish paint and this way it will become a part of the wall, which if you try to remove it you find out.

have the same problem. used a product called DIF although i think plain hot water will work the same. the key is to get the wall VERY wet and scrape...it is a messy, horrible job but needs to be done as painting over wallpaper is not ideal. i ended up taking off most of the drywall with several nicks and dings in the wall. i am now "remudding" in many of the areas using joint compound in a very thin layer. this can be primed and painted.